JEE Mains · Chemistry · STD 12 -1. Solution and colligative properties

\(\mathrm{CO}_{2}\) gas is bubbled through water during a soft drink manufacturing process at \(298\, \mathrm{~K}\). If \(\mathrm{CO}_{2}\) exerts a partial pressure of \(0.835\) bar then \(x \,\mathrm{~m} \,\mathrm{~mol}\) of \(\mathrm{CO}_{2}\) would dissolve in \(0.9\,\mathrm{~L}\) of water. The value of \(x\) is \(.....\) (Nearest integer) (Henry's law constant for \(\mathrm{CO}_{2}\) at \(298\, \mathrm{~K}\) is \(1.67 \times 10^{3}\) \(bar\))

A \(50\)
B \(25\)
C \(55\)
D \(35\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(25\)

Step-by-step Solution

Detailed explanation

From Henry's Law \(0.835=1.67 \times 10^{3} \times \frac{\mathrm{n}\left(\mathrm{CO}_{2}\right)}{\frac{0.9 \times 1000}{18}}\) \(\mathrm{n}\left(\mathrm{CO}_{2}\right)=0.025\) Millimoles of \(\mathrm{CO}_{2}=0.025 \times 1000=25\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Match the LIST-I with LIST-II

List-I Reagents		List-II Name of Reaction involving carbonyl compound
A.	\(NH _2- NH _2, KOH\)	I.	Tollen's Test
B.	\(Ag \left( NH _3\right)_2 OH\)	II.	Clemmensen Reduction
C.	Aq. \(CuSO _4\), Sodium Potassium tartarate, KOH	III.	Wolff-Kishner Reduction
D.	\(Zn - Hg , HCl\)	Iv.	Fehling's Test

Choose the correct answer from the options given below

JEE Mains 2026 Medium

The values of pressure equilibrium constant recorded at different temperatures for the following equilibrium reaction have been given below
\(A(g) \rightleftharpoons B(g) + C(g)\)
\(\dfrac{1}{T}(\text{K}^{-1})\) \(\log_{10} K_p\)
\(0.05\) \(3.5\)
\(0.06\) \(2.5\)
\(0.07\) \(1.5\)

The magnitude of \(\dfrac{\Delta H°}{R}\) calculated from the above data is _____. (Nearest integer)

JEE Mains 2026 Medium

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\(\dfrac{1}{T}(\text{K}^{-1})\)	\(\log_{10} K_p\)
\(0.05\)	\(3.5\)
\(0.06\)	\(2.5\)
\(0.07\)	\(1.5\)